Use the worked example above to help you solve this problem. An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of 1.30 x 102 N on the sled by pulling on the rope. (a) How much work does he do on the sled if the rope is horizontal to the ground (0 = 0° in the figure) and he pulls the sled 5.40 m? J (b) How much work does he do on the sled if 0 = 30.0° and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.) J (c) At a coordinate position of 5.40 m, the Eskimo lets up on the applied force. A friction force of 50.0 N between the ice and the sled brings the sled to rest at a coordinate position of 10.40 m. How much work does friction do on the sled? J

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter10: Work, Energy And Machines
Section10.1: Work And Energy
Problem 15SSC
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PRACTICE IT
Use the worked example above to help you solve this problem. An Eskimo returning from a successful
fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the
Eskimo exerts a force of 1.30 x 10² N on the sled by pulling on the rope.
(a) How much work does he do on the sled if the rope is horizontal to the ground (0 = 0° in the
figure) and he pulls the sled 5.40 m?
J
(b) How much work does he do on the sled if 0 = 30.0° and he pulls the sled the same distance?
(Treat the sled as a point particle, so details such as the point of attachment of the rope make no
difference.)
J
(c) At a coordinate position of 5.40 m, the Eskimo lets up on the applied force. A friction force of
50.0 N between the ice and the sled brings the sled to rest at a coordinate position of 10.40 m.
How much work does friction do on the sled?
J
EXERCISE
HINTS: GETTING STARTED I I'M STUCK!
Suppose the Eskimo is pushing the same 50.0-kg sled across level terrain with a force of 55.0 N.
(a) If he does 4.55 x 10² J of work on the sled while exerting the force horizontally, through what
distance must he have pushed it?
m
(b) If he exerts the same force at an angle of 50.0° with respect to the horizontal and moves the
sled through the same distance, how much work does he do on the sled?
J
Transcribed Image Text:PRACTICE IT Use the worked example above to help you solve this problem. An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of 1.30 x 10² N on the sled by pulling on the rope. (a) How much work does he do on the sled if the rope is horizontal to the ground (0 = 0° in the figure) and he pulls the sled 5.40 m? J (b) How much work does he do on the sled if 0 = 30.0° and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.) J (c) At a coordinate position of 5.40 m, the Eskimo lets up on the applied force. A friction force of 50.0 N between the ice and the sled brings the sled to rest at a coordinate position of 10.40 m. How much work does friction do on the sled? J EXERCISE HINTS: GETTING STARTED I I'M STUCK! Suppose the Eskimo is pushing the same 50.0-kg sled across level terrain with a force of 55.0 N. (a) If he does 4.55 x 10² J of work on the sled while exerting the force horizontally, through what distance must he have pushed it? m (b) If he exerts the same force at an angle of 50.0° with respect to the horizontal and moves the sled through the same distance, how much work does he do on the sled? J
Sledding Through the Yukon
EXAMPLE 5.1
GOAL Apply the basic definitions of work done by a
constant force.
PROBLEM An Eskimo returning from a successful
fishing trip pulls a sled loaded with salmon. The total
mass of the sled and salmon is 50.0 kg, and the Eskimo
exerts a force of 1.20 x 10² N on the sled by pulling on
the rope. (a) How much work does he do on the sled
if the rope is horizontal to the ground (0 = 0° in the
figure) and he pulls the sled 5.00 m? (b) How much
work does he do on the sled if 0 30.0° and he pulls the
sled the same distance? (Treat the sled as a point
particle, so details such as the point of attachment of the rope make no difference.) (c) At a coordinate
position of 12.4 m, the Eskimo lets up on the applied force. A friction force of 45.0 N between the ice and
the sled brings the sled to rest at a coordinate position of 18.2 m. How much work does friction do on the
sled?
=
SOLUTION
(A) Find the work done when the force is horizontal.
Use the proper equation, substituting
the given values.
te
STRATEGY Substitute the given values of F and Ax into the basic equations for work.
Use the proper equation, with F
replaced by fk.
ta
mg
An Eskimo pulling a sled with a rope at an angle to the
horizontal.
(B) Find the work done when the force is exerted at a 30° angle.
Use the proper equation, again
substituting the given values.
W = F Ax = (1.20 x 10² N) (5.00 m) = 6.00 × 10² J
=
W = (Fcos 0) d = (1.20 × 10² N)(cos 30.0°) (5.00 m)
5.20 x 10² J
(C) How much work does a friction force of 45.0 N do on the sled as it travels from a coordinate position
of 12.4 m to 18.2 m?
Wfric = FxAx = fk(xf = X₁)
Transcribed Image Text:Sledding Through the Yukon EXAMPLE 5.1 GOAL Apply the basic definitions of work done by a constant force. PROBLEM An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of 1.20 x 10² N on the sled by pulling on the rope. (a) How much work does he do on the sled if the rope is horizontal to the ground (0 = 0° in the figure) and he pulls the sled 5.00 m? (b) How much work does he do on the sled if 0 30.0° and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.) (c) At a coordinate position of 12.4 m, the Eskimo lets up on the applied force. A friction force of 45.0 N between the ice and the sled brings the sled to rest at a coordinate position of 18.2 m. How much work does friction do on the sled? = SOLUTION (A) Find the work done when the force is horizontal. Use the proper equation, substituting the given values. te STRATEGY Substitute the given values of F and Ax into the basic equations for work. Use the proper equation, with F replaced by fk. ta mg An Eskimo pulling a sled with a rope at an angle to the horizontal. (B) Find the work done when the force is exerted at a 30° angle. Use the proper equation, again substituting the given values. W = F Ax = (1.20 x 10² N) (5.00 m) = 6.00 × 10² J = W = (Fcos 0) d = (1.20 × 10² N)(cos 30.0°) (5.00 m) 5.20 x 10² J (C) How much work does a friction force of 45.0 N do on the sled as it travels from a coordinate position of 12.4 m to 18.2 m? Wfric = FxAx = fk(xf = X₁)
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